simplify -3/4r+3-5/6r-6

Answer 1

To simplify this expression: -3/4r + 3 - 5/6r - 6, we can combine like terms:

First, let's combine the terms involving 'r'. We have -3/4r and -5/6r. Their sum is (-3/4r) + (-5/6r).

To add these fractions, we need to find a common denominator. The common denominator for 4 and 6 is 12. So, we can rewrite the fractions:

(-3/4)(3/3)r + (-5/6)(2/2)r

=(-9/12)r + (-10/12)r

=(-9r-10r)/12

=(-19r)/12

Now, let's combine the remaining constants. We have 3 and -6. Their sum is 3 - 6 = -3.

Putting it all together, the simplified expression is:

(-19r)/12 - 3